Theorems · Definition · functional analysis
Dilation.mulRight
{α : Type u_1} → [inst : NonUnitalNormedRing α] → [NormMulClass α] → (a : α) → a ≠ 0 → α →ᵈ αMultiplication by a nonzero element a on the right, as a Dilation of a ring with a strictly
multiplicative norm.
- Defined in
- Mathlib.Analysis.Normed.Ring.Lemmas
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NonUnitalNormedRingstatement and proof · cited by 231
- NormMulClassstatement and proof · cited by 66
- Dilationstatement · cited by 44
Cited by3
Results whose statement or proof uses this declaration.
- DilationEquiv.mulRightproof · cited by 3
- Dilation.mulRight_toFunstatement and proof · cited by 0
- Filter.comap_mul_right_coboundedproof · cited by 0